Electric quadrupole and magnetic dipole moments of odd nuclei near the magic ones in a self-consistent approach

G. Co', V. De Donno, M. Anguiano, R. N. Bernard, and A. M. Lallena
Phys. Rev. C 92, 024314 – Published 20 August 2015

Abstract

We present a model which describes the properties of odd-even nuclei with one nucleon more, or less, with respect to the magic number. In addition to the effects related to the unpaired nucleon, we consider those produced by the excitation of the closed shell core. By using a single-particle basis generated with Hartree-Fock calculations, we describe the polarization of the doubly magic-core with random phase approximation collective wave functions. In every step of the calculation, and for all the nuclei considered, we use the same finite-range nucleon-nucleon interaction. We apply our model to the evaluation of electric quadrupole and magnetic dipole moments of odd-even nuclei around oxygen, calcium, zirconium, tin, and lead isotopes. Our random phase approximation description of the polarization of the core improves the agreement with experimental data with respect to the predictions of the independent particle model. We compare our results with those obtained in first-order perturbation theory, with those produced by Hartree-Fock-Bogolioubov calculations and with those generated within the Landau-Migdal theory of finite Fermi systems. The results of our universal, self-consistent, and parameter-free approach have the same quality of those obtained with phenomenological approaches where the various terms of the nucleon-nucleon interaction are adapted to reproduce some specific experimental data. A critical discussion on the validity of the model is presented.

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  • Received 28 April 2015
  • Revised 30 July 2015

DOI:https://doi.org/10.1103/PhysRevC.92.024314

©2015 American Physical Society

Authors & Affiliations

G. Co'

  • Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento and INFN Sezione di Lecce, Via Arnesano, I-73100 Lecce, Italy

V. De Donno

  • Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Via Arnesano, I-73100 Lecce, Italy

M. Anguiano, R. N. Bernard, and A. M. Lallena

  • Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada, Spain

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Vol. 92, Iss. 2 — August 2015

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